MATHEMATICS HIGH SCHOOL

The factorization of x2 + 3x – 4 is modeled with algebra tiles.What are the factors of x2 + 3x – 4?
(x + 4) and (x – 4)
(x + 3) and (x – 4)
(x + 4) and (x – 1)
(x + 3) and (x – 1)

Answers

Answer 1
Answer:

The quadratic trinomial can be factor using the following formula:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are trinomial roots}.

1. For the quadratic trinomial x^2 + 3x - 4 find the roots:

.

2. The factoring form of trinomial is

x^2+3x-4=(x+4)(x-1).

3. The factors are x+4 and x-1

Answer: correct choice is C.
Answer 2
Answer: x² + 3x - 4

factors of x² are x * x
factors of -4 that will result to a +3

4 * -1 = -4
4 - 1 = 3

(x + 4) and (x - 1)

x(x-1) + 4(x-1)
x² - x +4x - 4
x² + 3x - 4

Related Questions

What is the problem of this solving?!
How do you express 43.7% as a decimal?
The Music teacher has a list of 128 students who have signed up for music classes The music teacher can register 6 students in each class. What is the least number of class needed for all the students to be registered?
If I had a final exam that is worth 140 points, and I got 133 points out of the 140, what letter grade or percent would i have in that class?
Solve the inequality. |3x + 6| < 12A. –6 > x > 2 B. –2 < x < 2 C. –6 < x < 2 D. –21 < x < 3

Il perimetro di un pentagono regolare è 18,25cm. quanto misura il lato del pentagono​

Answers

Answer:

3,65 cm

Step-by-step explanation:

Un pentagono ha 5 lati congruenti

18,25 : 5 = 3,65 cm

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .

Answers

m=6,a'b'=3.5 square root 37

Answer:

The slope is m=6 and length of line isd' =3.5√(37)

Step-by-step explanation:

Given : The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' .

To find : What are the slope (m) and length of line AB?

Solution :

The slope of a line does not change.

Slope formula is,

m=(y_2-y_1)/(x_2-x_1)

The slope of AB A(2, 2) and B(3, 8) is :  

m=(8-2)/(3-2)\n\nm=(6)/(1)\n\nm=6

Distance formula, d = √((x_2-x_1)^2 + (y_2-y_1)^2)

The length of AB by distance formula,

d = √((3 - 2)^2+(8-2)^2)\nd = √((1)^2+(6)^2)\nd=√(1+36)\nd=√(37)

Line AB is dilated by a scale factor of 3.5.     

The length of A'B' is :

d' =3.5*√(37)\nd' =3.5√(37)

Therefore, The slope is m=6 and length of line isd' =3.5√(37)

A ceiling fan has 20
-inch blades (so the radius of the circular fan is
20
inches). Suppose the linear speed of the tip of a blade is
10
feet per second.

Answers


OK.  Got it !  So the fan is spinning at about 57.296 revolutions per minute.

What's your question ?

Consider the quadratic function f(x) = x2 – 5x + 6.What are the values of the coefficients and constant in the function?
A=
b =
C=

Answers

Hey there! :)

Answer:

a = 1

b = -5

c = 6.

Step-by-step explanation:

Recall that in standard form, the coefficients of a quadratic equation are:

f(x)= ax² + bx + c

In the given equation, we can identity the coefficients:

f(x) = (1)x² - 5x + 6

a = 1

b = -5

c = 6.

Sin77*sin88+cos77*cos88**HELP ASAP**

Note: Numbers next to functions are in degrees.

Answers

Answer:

\sf cos(77) * cos(88) + sin(77) * sin(88) =\boxed{\sf cos(11) \approx 0.982}

Step-by-step explanation:

To simplify the expression\sf sin(77) * sin(88) + cos(77) * cos(88), we'll use trigonometric identities.

The identity we'll use is the product-to-sum formula for cosine:

\boxed{\sf cos(A - B) = cos(A) * cos(B) + sin(A) * sin(B)}

Now, let A = 77 and B = 88

\sf cos(77 - 88) = cos(77) * cos(88) + sin(77) * sin(88)

Notice that 77 - 88 = -11 degrees.

\sf cos(-11) = cos(77) * cos(88) + sin(77) * sin(88)

Now, we know that cos(-x) = cos(x), so:

\sf cos(11) = cos(77) * cos(88) + sin(77) * sin(88)

Finally, since the cosine function is even (cos(x) = cos(-x)), we have:

\sf cos(11) = cos(77) * cos(88) + sin(77) * sin(88) = cos(-11)

Therefore:

\sf cos(77) * cos(88) + sin(77) * sin(88) =\boxed{\sf cos(11) \approx 0.982}

See the attachmentfor trigonometric identities formula:

the smiths spend 6% of their budget on entertainment. their total budget this year is $1,000 more than last year, this year they plan to spend $2,820 on entertainment. what was their total budget last year?

Answers

Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.

Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.
Other Questions
What is 0.375 as a percentage and decimal
If u need to give a customer 7.94 in change how many dimes should u give as part of the change
What is the difference between a whole number and a decimal
Which of these conditions might be true if polygons ABCD and KLMN are similar? A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.B. The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional. C. The lengths of corresponding sides of ABCD and KLMN are equal, but the measures of corresponding angles of ABCD and KLMN are not equal. D. The lengths of corresponding sides of ABCD and KLMN are proportional, but the measures of corresponding angles of ABCD and KLMN are not equal. E.The measures of corresponding angles of ABCD and KLMN are not proportional, but the lengths of corresponding sides of ABCD and KLMN are proportional.